What is (250× 2/3)\div 7 ?

The solution to (250× 2/3)\div 7 is 23 17/21

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Popular Pre Algebra >

(250× 2/3)\div 7

Solution

(250 \times \frac{2}{3}) \div 7

Solution

23 \frac{17}{21}

Decimal

23.80952 \dots

Solution steps

(250 \times \frac{2}{3}) \div 7

Follow the PEMDAS order of operations

Calculate within parentheses

(250 \times \frac{2}{3}) : \frac{500}{3}

250 \times \frac{2}{3}

250 \cdot \frac{2}{3} = \frac{500}{3}

250 \cdot \frac{2}{3}

Convert element to fraction:

250 = \frac{250}{1}

= \frac{2}{3} \cdot \frac{250}{1}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{250 \cdot 2}{1 \cdot 3}

Multiply the numbers:

250 \cdot 2 = 500

= \frac{500}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{500}{3}

= \frac{500}{3}

= \frac{500}{3} \div 7

Multiply and divide (left to right)

\frac{500}{3} \div 7 : \frac{500}{21}

\frac{500}{3} \div 7

Convert element to fraction:

7 = \frac{7}{1}

= \frac{500}{3} \div \frac{7}{1}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{500}{3} \cdot \frac{1}{7}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{500 \cdot 1}{3 \cdot 7}

Multiply the numbers:

500 \cdot 1 = 500

= \frac{500}{3 \cdot 7}

Multiply the numbers:

3 \cdot 7 = 21

= \frac{500}{21}

= \frac{500}{21}

Convert improper fractions to mixed numbers:

\frac{500}{21} = 23 \frac{17}{21}

\frac{500}{21} = 23

Remainder

17

\frac{500}{21}

Write the problem in long division format

21 \overline{∣ 500}

Divide

50

21

to get

2

Divide

50

21

to get

2

2 21 \overline{∣ 500}

Multiply the quotient digit

(2)

by the divisor

21

2 21 \overline{∣ 500} \underline{42}

Subtract

42

from

50

2 21 \overline{∣ 500} \underline{42} 8

Bring down the next number of the dividend

2 21 \overline{∣ 500} \underline{42} 80

2 21 \overline{∣ 500} \underline{42} 80

Divide

80

21

to get

3

Divide

80

21

to get

3

23 21 \overline{∣ 500} \underline{42} 80

Multiply the quotient digit

(3)

by the divisor

21

23 21 \overline{∣ 500} \underline{42} 80 \underline{63}

Subtract

63

from

80

23 21 \overline{∣ 500} \underline{42} 80 \underline{63} 17

23 21 \overline{∣ 500} \underline{42} 80 \underline{63} 17

The solution for Long Division of

\frac{500}{21}

23

with remainder of

17

23 Remainder 17

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{500}{21} = 23 \frac{17}{21}

= 23 \frac{17}{21}

= 23 \frac{17}{21}

Popular Examples

4800\div 24-4× (81-63)\div 2

Frequently Asked Questions (FAQ)

What is (250× 2/3)\div 7 ?
The solution to (250× 2/3)\div 7 is 23 17/21

(250× 2/3)\div 7

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is (250× 2/3)\div 7 ?

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